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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1/(2+x) = 1/x+1/(1+x)+1/(x+3) .
    Question type: Equation
    Solution:Original question:
     1 ÷ (2 + x ) = 1 ÷ x + 1 ÷ (1 + x ) + 1 ÷ ( x + 3)
     Multiply both sides of the equation by:(2 + x ) ,   x
     1 x = 1(2 + x ) + 1 ÷ (1 + x ) × (2 + x ) x + 1 ÷ ( x + 3) × (2 + x ) x
    Remove a bracket on the right of the equation::
     1 x = 1 × 2 + 1 x + 1 ÷ (1 + x ) × (2 + x ) x + 1 ÷ ( x + 3) × (2 + x ) x
    The equation is reduced to :
     1 x = 2 + 1 x + 1 ÷ (1 + x ) × (2 + x ) x + 1 ÷ ( x + 3) × (2 + x ) x
     Multiply both sides of the equation by:(1 + x )
     1 x (1 + x ) = 2(1 + x ) + 1 x (1 + x ) + 1(2 + x ) x + 1 ÷ ( x + 3) × (2 + x ) x
    Remove a bracket on the left of the equation:
     1 x × 1 + 1 x x = 2(1 + x ) + 1 x (1 + x ) + 1(2 + x ) x + 1 ÷ ( x + 3) × (2 + x ) x
    Remove a bracket on the right of the equation::
     1 x × 1 + 1 x x = 2 × 1 + 2 x + 1 x (1 + x ) + 1(2 + x ) x + 1 ÷ ( x + 3)
    The equation is reduced to :
     1 x + 1 x x = 2 + 2 x + 1 x (1 + x ) + 1(2 + x ) x + 1 ÷ ( x + 3) × (2 + x )
     Multiply both sides of the equation by:( x + 3)
     1 x ( x + 3) + 1 x x ( x + 3) = 2( x + 3) + 2 x ( x + 3) + 1 x (1 + x )( x + 3) + 1(2 + x ) x
    Remove a bracket on the left of the equation:
     1 x x + 1 x × 3 + 1 x x ( x + 3) = 2( x + 3) + 2 x ( x + 3) + 1 x (1 + x )( x + 3) + 1(2 + x ) x
    Remove a bracket on the right of the equation::
     1 x x + 1 x × 3 + 1 x x ( x + 3) = 2 x + 2 × 3 + 2 x ( x + 3) + 1 x (1 + x )( x + 3) + 1
    The equation is reduced to :
     1 x x + 3 x + 1 x x ( x + 3) = 2 x + 6 + 2 x ( x + 3) + 1 x (1 + x )( x + 3) + 1(2 + x )
    Remove a bracket on the left of the equation:
     1 x x + 3 x + 1 x x x + 1 x x = 2 x + 6 + 2 x ( x + 3) + 1 x (1 + x )( x + 3) + 1(2 + x )
    Remove a bracket on the right of the equation::
     1 x x + 3 x + 1 x x x + 1 x x = 2 x + 6 + 2 x x + 2 x × 3 + 1 x (1 + x )
    The equation is reduced to :
     1 x x + 3 x + 1 x x x + 3 x x = 2 x + 6 + 2 x x + 6 x + 1 x (1 + x )( x + 3)
    The equation is reduced to :
     1 x x + 3 x + 1 x x x + 3 x x = 8 x + 6 + 2 x x + 1 x (1 + x )( x + 3) + 1(2 + x )
    Remove a bracket on the right of the equation::
     1 x x + 3 x + 1 x x x + 3 x x = 8 x + 6 + 2 x x + 1 x × 1( x + 3) + 1 x
    The equation is reduced to :
     1 x x + 3 x + 1 x x x + 3 x x = 8 x + 6 + 2 x x + 1 x ( x + 3) + 1 x x
    Remove a bracket on the right of the equation::
     1 x x + 3 x + 1 x x x + 3 x x = 8 x + 6 + 2 x x + 1 x x + 1 x × 3
    The equation is reduced to :
     1 x x + 3 x + 1 x x x + 3 x x = 8 x + 6 + 2 x x + 1 x x + 3 x + 1
    The equation is reduced to :
     1 x x + 3 x + 1 x x x + 3 x x = 11 x + 6 + 2 x x + 1 x x + 1 x x
    Remove a bracket on the right of the equation::
     1 x x + 3 x + 1 x x x + 3 x x = 11 x + 6 + 2 x x + 1 x x + 1 x x

    
        x≈-0.534429 , keep 6 decimal places
    
    There are 1 solution(s).


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